WOLFRAM|DEMONSTRATIONS PROJECT

Projection of Polytopes into Three Dimensions

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polyhedron
dimensions
4
line style
line
tube
(It may take a long time to generatethe figure using tube.)
line color
background color
set random projection
Polytopes generalize polygons of two dimensions and polyhedra of three dimensions to higher dimensions. It is impossible for us to see polytopes in dimensions greater than three, so let us project them into three dimensions. The names of the polytopes are taken from the 3D case; for higher dimensions they are generalizations of those familiar figures.